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Finding the Fourth Proportional to 11,727.70, 17,595.24 and 5,159.41

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Solution

The fourth proportional to 11,727.70, 17,595.24 and 5,159.41 is: 7,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.70 : 17,595.24 = 5,159.41 : x
  2. Step 2: Convert to fraction form
    11,727.70/17,595.24 = 5,159.41/x
  3. Step 3: Cross multiply
    11,727.70x = 17,595.24 × 5,159.41
  4. Step 4: Simplify right side
    11,727.70x = 90,781,057.21
  5. Step 5: Solve for x
    x = 90,781,057.21/11,727.70
  6. Step 6: Final answer
    x = 7,740.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.